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Finding the Third Proportional to 194,486 and 429,796

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Solution

The third proportional to 194,486 and 429,796 is: 949,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,486 : 429,796 = 429,796 : x
  2. Step 2: Convert to fraction form
    194,486/429,796 = 429,796/x
  3. Step 3: Cross multiply
    194,486x = 429,796 × 429,796
  4. Step 4: Simplify right side
    194,486x = 184,724,601,616
  5. Step 5: Solve for x
    x = 184,724,601,616/194,486
  6. Step 6: Final answer
    x = 949,809.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.